Differential & Riemannian geometry

An invitation to web geometry

by Pereira, Jorge Vitório, Pirio, Luc

fromIMPA Monographs

0 Type: Book

This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian r…

Geometry of hypersurfaces

by Cecil, T. E., (Thomas E.), Ryan, Patrick J.

fromSpringer Monographs in Mathematics

0 Type: Book

This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space form…

An introduction to differential manifolds

by Lafontaine, J., (Jacques), Lafontaine, J., (Jacques)

fromGrenoble sciences

0 Type: Book

This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a litt…

L'hôpital's analyse des infiniments petits: an annotated translation with source material by …

by Bernoulli, Jean, Sandifer, Charles Edward, L'Hospital,, marquis de, (Guillaume François Antoine), Bradley, Robert E., Petrilli, Salvatore J.

fromScience networks historical studies

0 Type: Book

This monograph is an annotated translation of what is considered to be the world's first calculus textbook, originally published in French in 1696. That anonymously published textbook on differential calculus was based on lectures given to the Marquis de l'Hôpital in 1691-2 by t…

Lectures on differential geometry

by Taĭmanov, I. A., (Iskander Asanovich)

fromEMS series of lectures in mathematics

0 Type: Book

"This book gives an introduction to the basics of differential geometry, keeping in mind the natural origin of many geometrical quantities, as well as the applications of differential geometry and its methods to other sciences." "The book is based on lectures the author held rep…

Lectures on representations of surface groups

by Labourie, François

fromZurich Lectures in Advanced Mathematics

0 Type: Book

"The subject of these notes is the character variety of representations of a surface group in a Lie group. We emphasize the various points of view (combinatorial, differential, algebraic) and are interested in the description of its smooth points, symplectic structure, volume an…

Holomorphic curves and global questions in contact geometry

by Hofer, Helmut, Abbas, Casim

fromBirkhäuser advanced texts

0 Type: Book

This book explains the foundations of holomorphic curve theory in contact geometry. By using a particular geometric problem as a starting point the authors guide the reader into the subject. As such it ideally serves as preparation and as entry point for a deeper study of the an…

Information Geometry

by Jost, Jürgen, Ay, Nihat, Schwachhöfer, Lorenz, Lê, Hông Vân

fromErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge …

0 Type: Book

The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined a…

Information geometry

by Jost, Jürgen, Ay, Nihat, Vân Lê, Hông, Schwachhöfer, Lorenz

fromErgebnisse der mathematik und ihrer grenzgebiete

0 Type: Book

The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined a…

Analytic, algebraic and geometric aspects of differential equations: Będlewo, Poland, September 2015

fromTrends in mathematics

0 Type: Book

This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and anal…

Developments in functional equations and related topics

by Brzdek, Janusz

fromSpringer optimization and its applications

0 Type: Book

This book presents current research on Ulam stability for functional equations and inequalities. Contributions from renowned scientists emphasize fundamental and new results, methods and techniques. Detailed examples are given to theories to further understanding at the graduate…

Mathematical concepts

by Jost, Jürgen

0 Type: Book

The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common f…

Analysis and geometry: MIMS-GGTM, Tunis, Tunisia, March 2014 ; in honour…

by Baouendi, M. Salah, Mediterranean Institute for the Mathematical Sciences, Geometry and Topology Grouping for the Maghreb, MIMS-GGTM, Tunis, Tunisia)

fromSpringer proceedings in mathematics & statistics

0 Type: Book

This book includes selected papers presented at the MIMS (Mediterranean Institute for the Mathematical Sciences) - GGTM (Geometry and Topology Grouping for the Maghreb) conference, held in memory of Mohammed Salah Baouendi, a most renowned figure in the field of several complex …

Pseudo-differential operators: groups, geometry and applications

fromTrends in mathematics

0 Type: Book

This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM he…

Differential Geometry of Curves and Surfaces

by Tapp, Kristopher

fromUndergraduate texts in mathematics

0 Type: Book

This is a textbook on differential geometry well-suited to a variety of courses on this topic. For readers seeking an elementary text, the prerequisites are minimal and include plenty of examples and intermediate steps within proofs, while providing an invitation to more excursi…

Ricci flow and geometric applications: Cetraro, Italy 2010

by Besson, Gérard, Tian, Gang, Boileau, Michel, Sinestrari, Carlo

fromLecture notes in mathematics (Springer-Verlag)

0 Type: Book

Presenting some impressive recent achievements in differential geometry and topology, this volume focuses on results obtained using techniques based on Ricci flow. These ideas are at the core of the study of differentiable manifolds. Several very important open problems and conj…

Geometry, algebra and applications: from mechanics to cryptography ; in honor of Jaim…

by Muñoz Masqué, J., (Jaime)

fromSpringer proceedings in mathematics & statistics

0 Type: Book

This volume collects contributions written by different experts in honor of Prof. Jaime Muñoz Masqué. It covers a wide variety of research topics, from differential geometry to algebra, but particularly focuses on the geometric formulation of variational calculus; geometric mech…

Hyperbolicity of Projective Hypersurfaces

by Diverio, Simone, Rousseau, Erwan

fromIMPA Monographs

0 Type: Book

This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in connection with projective hypersurfaces. This is a very active field, not least because of the fascinating relations with complex algebraic and arithmetic geometry. Foundational wor…

Manifolds, sheaves, and cohomology

by Wedhorn, Torsten

fromSpringer Studium Mathematik

0 Type: Book

This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the di…